Category Archives: Abduction

Pragmatic Semiotic Information • Discussion 18

Re: FB | Peirce Society • John Corcoran To address Was ist und was soll Information sein? in a Peircean context we need to grasp or at least try to grapple with Peirce’s inklings about information.  As it happens, I’ve … Continue reading

Posted in Abduction, Aristotle, C.S. Peirce, Comprehension, Deduction, Definition, Determination, Extension, Hypothesis, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Intention, Logic, Logic of Science, Mathematics, Measurement, Observation, Peirce, Perception, Phenomenology, Physics, Pragmatic Semiotic Information, Pragmatism, Probability, Quantum Mechanics, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Abduction, Deduction, Induction, Analogy, Inquiry • 27

Re: Gil Kalai • Avi Wigderson : Integrating Computational Modeling, Algorithms, and Complexity into Theories of Nature Marks a New Scientific Revolution! I took a look at Avi’s paper “On the Nature of the Theory of Computation” (OtNotToC).  There is … Continue reading

Posted in Abduction, Analogy, Aristotle, Artificial Intelligence, C.S. Peirce, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems Engineering, Logic, Mental Models, Peirce, Scientific Method, Semiotics, Systems | Tagged , , , , , , , , , , , , , , , | 6 Comments

Abduction, Deduction, Induction, Analogy, Inquiry • 26

Re: Gil Kalai • Avi Wigderson : Integrating Computational Modeling, Algorithms, and Complexity into Theories of Nature Marks a New Scientific Revolution! Projects giving a central place to computation in scientific inquiry go back to Hobbes and Leibniz, at least, … Continue reading

Posted in Abduction, Analogy, Aristotle, Artificial Intelligence, C.S. Peirce, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems Engineering, Logic, Mental Models, Peirce, Scientific Method, Semiotics, Systems | Tagged , , , , , , , , , , , , , , , | 10 Comments

Abductive Inference, Concept Formation, Hypothesis Formation • 1

In pragmatic semiotics, concept formation like hypothesis formation falls under the heading of abductive inference.  A lot has been said and there’s a lot more to say about that, but things are too much in flux right now to allow … Continue reading

Posted in Abduction, C.S. Peirce, Complexity, Concept Formation, Differential Calculus, Differential Logic, Dyadic Relations, Dynamical Systems, Dynamics, Geometry, Hypothesis Formation, Inference, Logic, Logic of Relatives, Mathematics, Peirce's Categories, Physics, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

{ Information = Comprehension × Extension } • Discussion 17

Re: Ontolog Forum • Joseph Simpson We are in the middle of trying to work out what Peirce had in mind with his concept of information.  He appears to have developed it from purely logical considerations, if logic can remain … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Information Theory, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Discussion 16

Re: Ontolog Forum • Joseph Simpson To understand the purpose of Peirce’s lecture hall illustrations I think we need to consider how these sorts of expository examples come into being.  Having crafted a few myself the technique is much like … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Information Theory, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Discussion 15

I am roughly at the halfway point of my comments on Peirce’s information formula, having just finished up the link between abductive inference and iconic reference.  The discussion of induction and indexicals will follow pretty much the same pattern, though … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Information Theory, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Discussion 14

Re: Ontolog Forum • Bruce Schuman Information and optimization go hand in hand — discovering the laws or constraints naturally governing the systems in which we live is a big part of moving toward our hearts’ desires within them.  I’m … Continue reading

Posted in Abduction, Analogy, C.S. Peirce, Comprehension, Cybernetics, Deduction, Extension, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Information Theory, Inquiry, Intension, Logic, Logic of Science, Optimal Control, Optimization, Pragmatic Semiotic Information, Representation, Scientific Method, Semiotics, Sign Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Discussion 13

Re: Deborah G. Mayo • R.A. Fisher: “Statistical Methods and Scientific Induction” As much as I incline toward Fisher’s views over those of Neyman and Pearson, I always find these controversies driving me back to Peirce.  It’s my personal sense … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Information Theory, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } Revisited • Comment 5

Let’s stay with Peirce’s example of abductive inference a little longer and try to clear up the more troublesome confusions that tend to arise. Figure 1 shows the implication ordering of logical terms in the form of a lattice diagram. … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Information Theory, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | 9 Comments